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When finding the inverse of a matrix, order doesn't matter because the operation of taking the inverse is inherently defined for square matrices. Specifically, if ( A ) is an invertible matrix, then its inverse ( A^{-1} ) satisfies the property ( A A^{-1} = I ) and ( A^{-1} A = I ), where ( I ) is the identity matrix. This means that multiplying ( A ) by its inverse will always yield the identity matrix, regardless of the order in which the matrices are multiplied. However, note that the order does matter when multiplying different matrices together; it's only the specific case of a matrix and its inverse that ensures commutativity in this regard.

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3d ago

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What should happen when you add or multiply inverse numbers?

When you add a number and its additive inverse, for example x+(-x), you would get 0 as an answer no matter what the number is. When you multiply a number and its reciprocal or multiplicative inverse, for example x*(1/x), you would always get 1 as an answer.


What is the additive inverse of the expression a - b?

I believe that the answer to this question is -a+b, as an additive inverse is supposed to make the equation equal to zero when you add the inverse and its equation together. That means that when you add -a and a, you get zero, and -b and b is zero as well, so this would be the most logical explanation to your question.


What do a galaxy and inverse have the same?

A galaxy and an inverse share the concept of structure and organization. A galaxy is a vast system of stars, gas, and dark matter bound by gravity, while an inverse refers to the mathematical relationship where one quantity is the reciprocal of another. Both represent complex systems where elements interact in defined ways, showcasing the balance and interplay of forces, whether in celestial mechanics or mathematical functions.


What heavier a ton of bricks or a ton of wood?

A ton is a ton, it doesnt matter if its a ton of jelly beans, or a ton of bouncy balls. A ton is the same no matter what you use.


Why doesnt an isosceles triangle have rotational symmetry?

Because if you rotate it about its center it looks different (not symmetric) no matter what the angle is.